-16x^2+66x+13=48

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Solution for -16x^2+66x+13=48 equation: 


Simplifying
-16x2 + 66x + 13 = 48

Reorder the terms:
13 + 66x + -16x2 = 48

Solving
13 + 66x + -16x2 = 48

Solving for variable 'x'.

Reorder the terms:
13 + -48 + 66x + -16x2 = 48 + -48

Combine like terms: 13 + -48 = -35
-35 + 66x + -16x2 = 48 + -48

Combine like terms: 48 + -48 = 0
-35 + 66x + -16x2 = 0

Factor a trinomial.
(-7 + 2x)(5 + -8x) = 0


Subproblem 1
Set the factor '(-7 + 2x)' equal to zero and attempt to solve:

Simplifying
-7 + 2x = 0

Solving
-7 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + 2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = 0 + 7
2x = 0 + 7

Combine like terms: 0 + 7 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

Subproblem 2
Set the factor '(5 + -8x)' equal to zero and attempt to solve:

Simplifying
5 + -8x = 0

Solving
5 + -8x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -8x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = 0 + -5
-8x = 0 + -5

Combine like terms: 0 + -5 = -5
-8x = -5

Divide each side by '-8'.
x = 0.625

Simplifying
x = 0.625
Solution
x = {3.5, 0.625}

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